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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 68 · 40 questions
TalentJR

How to solve it (Balance): Bring the x terms to one side and the plain numbers to the other (change the sign when you move a term across). Divide both sides by the number in front of x (or multiply if x is divided). Check by putting your answer back into the equation.

NameDateTime takenScore ___ / 40
  1. 1.If 9x + 8 = 6x + 29, what is x? (a) 6 (b) 8 (c) 9 (d) 7
  2. 2.If 8x + 5 = 77, what is x? (a) 10 (b) 9 (c) 8 (d) 72
  3. 3.If 8x + 16 = 2x + 64, what is x? (a) 10 (b) 9 (c) 7 (d) 8
  4. 4.If 4x + 13 = x + 19, what is x? (a) 4 (b) 1 (c) 2 (d) 3
  5. 5.If 5x + 9 = 44, what is x? (a) 7 (b) 35 (c) 6 (d) 8
  6. 6.If x/2 + 13 = 19, what is x? (a) 64 (b) 6 (c) 25 (d) 12
  7. 7.If x/6 + 3 = 9, what is x? (a) 6 (b) 36 (c) 72 (d) 51
  8. 8.If 9x − 30 = 15, what is x? (a) 6 (b) 45 (c) 5 (d) 4
  9. 9.If 4x + 18 = 38, what is x? (a) 5 (b) 20 (c) 14 (d) 6
  10. 10.If 3x − 4 = 2, what is x? (a) 1 (b) 2 (c) 3 (d) 6
  11. 11.If 8x + 7 = 4x + 31, what is x? (a) 6 (b) 8 (c) 2 (d) 7
  12. 12.If 4x + 29 = 73, what is x? (a) 11 (b) 12 (c) 44 (d) 10
  13. 13.If 3x − 14 = 28, what is x? (a) 13 (b) 15 (c) 42 (d) 14
  14. 14.If 3x + 26 = 56, what is x? (a) 10 (b) 11 (c) 9 (d) 30
  15. 15.If 6x − 19 = 5, what is x? (a) 24 (b) 4 (c) 3 (d) 5
  16. 16.If x/4 + 1 = 12, what is x? (a) 47 (b) 44 (c) 52 (d) 11
  17. 17.If 9x − 55 = 53, what is x? (a) 11 (b) 108 (c) 12 (d) 13
  18. 18.If 7x + 12 = x + 84, what is x? (a) 9 (b) 16 (c) 12 (d) 13
  19. 19.If x/3 + 10 = 17, what is x? (a) 41 (b) 81 (c) 7 (d) 21
  20. 20.If x/5 + 10 = 13, what is x? (a) 55 (b) 3 (c) 115 (d) 15
  21. 21.If 6x + 23 = 83, what is x? (a) 9 (b) 10 (c) 11 (d) 60
  22. 22.If 3x + 1 = 25, what is x? (a) 8 (b) 7 (c) 24 (d) 9
  23. 23.If 7x − 23 = 54, what is x? (a) 77 (b) 10 (c) 11 (d) 12
  24. 24.If 2x + 27 = 41, what is x? (a) 8 (b) 14 (c) 7 (d) 34
  25. 25.If 3x + 2 = 17, what is x? (a) 6 (b) 4 (c) 5 (d) 15
  26. 26.If 9x − 4 = 14, what is x? (a) 1 (b) 2 (c) 18 (d) 3
  27. 27.If 9x + 3 = 6x + 6, what is x? (a) 3 (b) 4 (c) 1 (d) 2
  28. 28.If x/6 + 9 = 11, what is x? (a) 57 (b) 120 (c) 2 (d) 12
  29. 29.If 8x + 12 = 7x + 20, what is x? (a) 8 (b) 32 (c) 10 (d) 9
  30. 30.If x/6 + 13 = 18, what is x? (a) 186 (b) 5 (c) 95 (d) 30
  31. 31.If 8x + 7 = 2x + 13, what is x? (a) 1 (b) 4 (c) 2 (d) 3
  32. 32.If 8x + 12 = 92, what is x? (a) 13 (b) 80 (c) 11 (d) 10
  33. 33.If 6x + 3 = 57, what is x? (a) 54 (b) 8 (c) 10 (d) 9
  34. 34.If 3x + 11 = 53, what is x? (a) 14 (b) 15 (c) 42 (d) 13
  35. 35.If 6x + 2 = 3x + 20, what is x? (a) 8 (b) 6 (c) 2 (d) 7
  36. 36.If 9x + 12 = 48, what is x? (a) 4 (b) 3 (c) 36 (d) 5
  37. 37.If 3x + 30 = 39, what is x? (a) 3 (b) 23 (c) 9 (d) 4
  38. 38.If 9x − 7 = 101, what is x? (a) 11 (b) 108 (c) 13 (d) 12
  39. 39.If 9x + 5 = 95, what is x? (a) 90 (b) 11 (c) 9 (d) 10
  40. 40.If 6x + 7 = 3x + 25, what is x? (a) 8 (b) 7 (c) 2 (d) 6

Answer key

  1. 7
  2. 9
  3. 8
  4. 2
  5. 7
  6. 12
  7. 36
  8. 5
  9. 5
  10. 2
  11. 6
  12. 11
  13. 14
  14. 10
  15. 4
  16. 44
  17. 12
  18. 12
  19. 21
  20. 15
  21. 10
  22. 8
  23. 11
  24. 7
  25. 5
  26. 2
  27. 1
  28. 12
  29. 8
  30. 30
  31. 1
  32. 10
  33. 9
  34. 14
  35. 6
  36. 4
  37. 3
  38. 12
  39. 10
  40. 6

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